CF589F Gourmet and Banquet(二分答案+最大流)

时间:2022-01-15 21:58:54

二分答案,每个时间段一个点,每个菜一个点,连边跑最大流,看是否满流即可。

#include <cstdio>
#include <cstring>
#include <algorithm>
#include <queue>
using namespace std;
#define ll long long
#define inf 0x3f3f3f3f
#define N 11000
inline int read(){
    int x=0,f=1;char ch=getchar();
    while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
    while(ch>='0'&&ch<='9') x=x*10+ch-'0',ch=getchar();
    return x*f;
}
int n,h[N],num=1,T=10500,lev[N],tot=0,num1=0,cur[N];
struct edge{
    int to,next,val;
}data[2100000];
inline void add(int x,int y,int val){
    data[++num].to=y;data[num].next=h[x];h[x]=num;data[num].val=val;
    data[++num].to=x;data[num].next=h[y];h[y]=num;data[num].val=0;
}
inline bool bfs(){
    queue<int>q;memset(lev,0,sizeof(lev));
    lev[0]=1;q.push(0);
    while(!q.empty()){
        int x=q.front();q.pop();
        for(int i=h[x];i;i=data[i].next){
            int y=data[i].to;if(lev[y]||!data[i].val) continue;
            lev[y]=lev[x]+1;q.push(y);
        }
    }return lev[T];
}
inline int dinic(int x,int low){
    if(x==T) return low;int tmp=low;
    for(int &i=cur[x];i;i=data[i].next){
        int y=data[i].to;if(lev[y]!=lev[x]+1||!data[i].val) continue;
        int res=dinic(y,min(tmp,data[i].val));
        if(!res) lev[y]=0;else tmp-=res,data[i].val-=res,data[i^1].val+=res;
        if(!tmp) return low;
    }return low-tmp;
}
inline bool jud(int x){
    num=1;int ans=0;
    for(int i=1;i<=n;++i) data[++num].val=x,data[++num].val=0;
    while(num<num1) data[++num].val=1,data[++num].val=0;
    while(bfs()){memcpy(cur,h,sizeof(cur));ans+=dinic(0,inf);}
    return ans==n*x;
}
int main(){
// freopen("a.in","r",stdin);
    n=read();
    for(int i=1;i<=n;++i) add(i,T,0);
    for(int i=1;i<=n;++i){
        int x=read(),y=read();tot=max(tot,y);
        for(int j=x+1;j<=y;++j) add(j+n,i,1);
    }for(int i=1;i<=tot;++i) add(0,i+n,1);
    int l=1,r=tot/n;num1=num;
    while(l<=r){
        int mid=l+r>>1;
        if(jud(mid)) l=mid+1;
        else r=mid-1;
    }printf("%d\n",(l-1)*n);
    return 0;
}